Laminations on the circle and convergence groups

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A discrete group of circle homeomorphisms is a Fuchsian group if and only if it is a convergence group (this is due to Tukia, Casson-Jungreis, Gabai, ...). We show that the convergence property can also be characterized in terms of invariant laminations on the circle, so this gives a new characterization of Fuchsian groups. We also discuss what can be said about fibered hyperbolic 3-manifold groups. The main motivation of the work is Thurston´s universal circle theory.
Publisher
Bielefeld University
Issue Date
2016-04-08
Language
English
Citation

Topological and Homological Methods in Group Theory

URI
http://hdl.handle.net/10203/238696
Appears in Collection
MA-Conference Papers(학술회의논문)
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